If it's the initial sync, and you can treat either your Google or iPhone contacts as your "master" list, I would suggest using either the "Google Contacts -> iPhone" sync mode or the "iPhone Contacts -> Google" sync mode. Otherwise, perform a 2-way sync. After your first sync, I would generally recommend using a 2-way sync.

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Somehow I have a lot of contacts with an Outlook URL of "ms-outlook://people" in iOS contacts and when I did the initial merge to Gmail now has that URL. How do I get rid of it? iOS contacts will not let me update contact in iOS. I have to go to Gmail to update it.